101210020210012 has 96 divisors (see below), whose sum is σ = 214103796480000. Its totient is φ = 40894356625920.

The previous prime is 101210020209973. The next prime is 101210020210021. The reversal of 101210020210012 is 210012020012101.

It is a super-2 number, since 2×101210020210012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210020209974 and 101210020210001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196695312 + ... + 197209192.

It is an arithmetic number, because the mean of its divisors is an integer number (2230247880000).

Almost surely, 2^{101210020210012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210020210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107051898240000).

101210020210012 is an abundant number, since it is smaller than the sum of its proper divisors (112893776269988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101210020210012 is a wasteful number, since it uses less digits than its factorization.

101210020210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515699 (or 515697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101210020210012 its reverse (210012020012101), we get a palindrome (311222040222113).

The spelling of 101210020210012 in words is "one hundred one trillion, two hundred ten billion, twenty million, two hundred ten thousand, twelve".